1. Do Now
Complete the table.

2. New Seats!

3. 14.2 Constructing Geometric Sequences
How can you differentiate between a geometric sequence and an arithmetic sequence?
2. How can you tell by looking at a function rule for a sequence whether it is a recursive rule?

4. Writing the Rules

5. Explicit Rule

6. Your Turn

7. More Writing

8. Deep Thinking
The first term of a geometric sequence is 81 and the common ratio is 1/3 . Explain how the 4th term of the sequence can be determined. 2.

9. Your Turn
Use each geometric sequence to help write a recursive rule and an explicit rule for any geometric sequence.
6, 12, 24, 48, 96,…

11. A New Way To Write Rules

12. Deep Thinking
Finding the common ratio in the shutter speed example involved finding a square root. Why was the negative square root not considered?

13. Your Turn
Write an explicit rule for the sequence using subscript notation.
The third term of a geometric sequence is 1/27 and the fifth term is 1/243. All the terms of the sequence are positive.